The log-Sobolev inequality with quadratic interactions

We assume one-site measures without a boundary e−ϕ(x)dx/Z that satisfies a log-Sobolev inequality. We prove that if these measures are perturbed with quadratic interactions, then the associated infinite dimensional Gibbs measure on the lattice always satisfies a log-Sobolev inequality. Furthermore,...

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Autor principal: Papageorgiou, I.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222488_v59_n8_p_Papageorgiou
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